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Finding the Fourth Proportional to 658.12, 907.68 and 424.84

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Solution

The fourth proportional to 658.12, 907.68 and 424.84 is: 585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.12 : 907.68 = 424.84 : x
  2. Step 2: Convert to fraction form
    658.12/907.68 = 424.84/x
  3. Step 3: Cross multiply
    658.12x = 907.68 × 424.84
  4. Step 4: Simplify right side
    658.12x = 385,618.77
  5. Step 5: Solve for x
    x = 385,618.77/658.12
  6. Step 6: Final answer
    x = 585.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.